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Finding the Fourth Proportional to 159,825.78, 220,558.62 and 88,205.82

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Solution

The fourth proportional to 159,825.78, 220,558.62 and 88,205.82 is: 121,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,825.78 : 220,558.62 = 88,205.82 : x
  2. Step 2: Convert to fraction form
    159,825.78/220,558.62 = 88,205.82/x
  3. Step 3: Cross multiply
    159,825.78x = 220,558.62 × 88,205.82
  4. Step 4: Simplify right side
    159,825.78x = 19,454,553,935.17
  5. Step 5: Solve for x
    x = 19,454,553,935.17/159,825.78
  6. Step 6: Final answer
    x = 121,723.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.